BLAKE (hash function)

Cryptographic Hash Function

BLAKE and BLAKE2 are cryptographic hash functions based on Dan Bernstein’s ChaCha stream cipher, but a permuted copy of the input block, XORed with some round constants, is added before each ChaCha round. Like SHA-2, there are two variants differing in the word size. ChaCha operates on a 4×4 array of words. BLAKE repeatedly combines an 8-word hash value with 16 message words, truncating the ChaCha result to obtain the next hash value. BLAKE-256 and BLAKE-224 use 32-bit words and produce digest sizes of 256 bits and 224 bits, respectively, while BLAKE-512 and BLAKE-384 use 64-bit words and produce digest sizes of 512 bits and 384 bits, respectively.



BLAKE was submitted to the NIST hash function competition by Jean-Philippe Aumasson, Luca Henzen, Willi Meier, and Raphael C.-W. Phan. In 2008, there were 51 entries. BLAKE made it to the final round consisting of five candidate but lost to Keccak in 2012, which was selected for the SHA-3 algorithm.

SHA-3 algorithm


Like SHA-2, BLAKE comes in two variants: one that uses 32-bit words, used for computing hashes up to 256 bits long, and one that uses 64-bit words, used for computing hashes up to 512 bits long. The core block transformation combines 16 words of input with 16 working variables, but only 8 words (256 or 512 bits) are preserved between blocks.

It uses a table of 16 constant words (the leading 512 or 1024 bits of the fractional part of ), and a table of 10 16-element permutations:

σ[0] = 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 σ[1] = 14 10 4 8 9 15 13 6 1 12 0 2 11 7 5 3 σ[2] = 11 8 12 0 5 2 15 13 10 14 3 6 7 1 9 4 σ[3] = 7 9 3 1 13 12 11 14 2 6 5 10 4 0 15 8 σ[4] = 9 0 5 7 2 4 10 15 14 1 11 12 6 8 3 13 σ[5] = 2 12 6 10 0 11 8 3 4 13 7 5 15 14 1 9 σ[6] = 12 5 1 15 14 13 4 10 0 7 6 3 9 2 8 11 σ[7] = 13 11 7 14 12 1 3 9 5 0 15 4 8 6 2 10 σ[8] = 6 15 14 9 11 3 0 8 12 2 13 7 1 4 10 5 σ[9] = 10 2 8 4 7 6 1 5 15 11 9 14 3 12 13 0 

The core operation, equivalent to ChaCha’s quarter round, operates on a 4-word column or diagonal <code>a b c d</code>, which is combined with 2 words of message <code>m[]</code> and two constant words <code>n[]</code>. It is performed 8 times per full round:

j ← σ[r%10][2×i] <span style="color:green">// Index computations</span> k ← σ[r%10][2×i+1] a ← a + b + (m[j] ⊕ n[k]) <span style="color:green">// Step 1 (with input)</span> d ← (d ⊕ a) >>> 16 c ← c + d <span style="color:green">// Step 2 (no input)</span> b ← (b ⊕ c) >>> 12 a ← a + b + (m[k] ⊕ n[j]) <span style="color:green">// Step 3 (with input)</span> d ← (d ⊕ a) >>> 8 c ← c + d <span style="color:green">// Step 4 (no input)</span> b ← (b ⊕ c) >>> 7 

In the above, <code>r</code> is the round number (0–13), and <code>i</code> varies from 0 to 7.

The differences from the ChaCha quarter-round function are:

  • The addition of the message words has been added.
  • The rotation directions have been reversed.

The 64-bit version (which does not exist in ChaCha) is identical, but the rotation amounts are 32, 25, 16 and 11, respectively, and the number of rounds is increased to 16.


Throughout the NIST hash function competition, entrants are permitted to “tweak” their algorithms to address issues that are discovered. Changes that have been made to BLAKE are:

  • The number of rounds was increased from 10/14 to 14/16. This is to be more conservative about security while still being fast.


An improved version of BLAKE called BLAKE2 was announced in December 21, 2012. It was created by Jean-Philippe Aumasson, Samuel Neves, Zooko Wilcox-O’Hearn, and Christian Winnerlein with the goal to replace widely used, but broken MD5 and SHA-1 algorithms. The code was released under CC0.

BLAKE2 removes addition of constants to message words from BLAKE round function, changes two rotation constants, simplifies padding, adds parameter block that is XOR’ed with initialization vectors, and reduces the number of rounds from 16 to 12 for BLAKE2b (successor of BLAKE-512), and from 14 to 10 for BLAKE2s (successor of BLAKE-256).

BLAKE2 supports keying, salting, personalization, and hash tree modes, and can output digests from 1 up to 64 bytes for BLAKE2b or up to 32 bytes for BLAKE2s. There are also parallel versions designed for increased performance on ; BLAKE2bp (4-way parallel) and BLAKE2sp (8-way parallel).

There is an “Extendable-Output Function” (XOF) variant of BLAKE2 called “BLAKE2X”, which is able to output a very large number of random bits (instead of just 256 or 512).

Initialization vector

Blake2b uses an initialization vector that is the same as the IV used by SHA-512. These values are obtained by taking the first 64 bits of the fractional parts of the square roots of the first eight prime numbers.

IV0 = 0x6A09E667F3BCC908 //Frac(Sqrt(2)) IV1 = 0xBB67AE8584CAA73B //Frac(Sqrt(3)) IV2 = 0x3C6EF372FE94F82B //Frac(Sqrt(5)) IV3 = 0xA54FF53A5F1D36F1 //Frac(Sqrt(7)) IV4 = 0x510E527FADE682D1 //Frac(Sqrt(11)) IV5 = 0x9B05688C2B3E6C1F //Frac(Sqrt(13)) IV6 = 0x1F83D9ABFB41BD6B //Frac(Sqrt(17)) IV7 = 0x5BE0CD19137E2179 //Frac(Sqrt(19))

Blake2b algorithm

Pseudocode for the BLAKE2b algorithm. The BLAKE2b algorithm uses 8-byte (UInt64) words, and 128-byte chunks.

Algorithm BLAKE2b   Input:      M                               Message to be hashed      cbMessageLen: Number, (0..2128)  Length of the message in bytes      Key                             Optional 0..64 byte key      cbKeyLen: Number, (0..64)       Length of optional key in bytes      cbHashLen: Number, (1..64)      Desired hash length in bytes   Output:      Hash                            Hash of cbHashLen bytes   Initialize State vector h with IV   h0..7 ← IV0..7   Mix key size (cbKeyLen) and desired hash length (cbHashLen) into h0   h0 ← h0 xor 0x0101kknn         where kk is Key Length (in bytes)               nn is Desired Hash Length (in bytes)   Each time we Compress we record how many bytes have been compressed   cBytesCompressed ← 0   cBytesRemaining  ← cbMessageLen   If there was a key supplied (i.e. cbKeyLen > 0)    then pad with trailing zeros to make it 128-bytes (i.e. 16 words)    and prepend it to the message M   if (cbKeyLen > 0) then      M ← Pad(Key, 128) || M      cBytesRemaining ← cBytesRemaining + 128   end if   Compress whole 128-byte chunks of the message, except the last chunk   while (cBytesRemaining > 128) do      chunk ← get next 128 bytes of message M      cBytesCompressed ← cBytesCompressed + 128  increase count of bytes that have been compressed      cBytesRemaining  ← cBytesRemaining  - 128  decrease count of bytes in M remaining to be processed      h ← Compress(h, chunk, cBytesCompressed, false)  false ⇒ this is not the last chunk   end while   Compress the final bytes from M   chunk ← get next 128 bytes of message M  We will get cBytesRemaining bytes (i.e. 0..128 bytes)   cBytesCompressed ← cBytesCompressed+cBytesRemaining  The actual number of bytes leftover in M   chunk ← Pad(chunk, 128)  If M was empty, then we will still compress a final chunk of zeros   h ← Compress(h, chunk, cBytesCompressed, true)  true ⇒ this is the last chunk   Result ← first cbHashLen bytes of little endian state vector h End Algorithm BLAKE2b 


The Compress function takes a full 128-byte chunk of the input message and mixes it into the ongoing state array:

Function Compress   Input:      h                      Persistent state vector      chunk                  128-byte (16 double word) chunk of message to compress      t: Number, 0..2128     Count of bytes that have been fed into the Compression      IsLastBlock: Boolean   Indicates if this is the final round of compression   Output:      h                      Updated persistent state vector   Setup local work vector V   V0..7 ← h0..7   First eight items are copied from persistent state vector h   V8..15 ← IV0..7 Remaining eight items are initialized from the IV   Mix the 128-bit counter t into V12:V13   V12 ← V12 xor Lo(t)    Lo 64-bits of UInt128 t   V13 ← V13 xor Hi(t)    Hi 64-bits of UInt128 t   If this is the last block then invert all the bits in V14   if IsLastBlock then      V14 ← V14 xor 0xFFFFFFFFFFFFFFFF   Treat each 128-byte message chunk as sixteen 8-byte (64-bit) words m   m0..15 ← chunk   Twelve rounds of cryptographic message mixing   for i from 0 to 11 do      Select message mixing schedule for this round.       BLAKE2b uses 12 rounds, while SIGMA has only 10 entries.      S0..15 ← SIGMA[i mod 10]   Rounds 10 and 11 use SIGMA[0] and SIGMA[1] respectively            Mix(V0, V4, V8,  V12, m[S0], m[S1])      Mix(V1, V5, V9,  V13, m[S2], m[S3])      Mix(V2, V6, V10, V14, m[S4], m[S5])      Mix(V3, V7, V11, V15, m[S6], m[S7])      Mix(V0, V5, V10, V15, m[S8],  m[S9])      Mix(V1, V6, V11, V12, m[S10], m[S11])      Mix(V2, V7, V8,  V13, m[S12], m[S13])      Mix(V3, V4, V9,  V14, m[S14], m[S15])   end for   Mix the upper and lower halves of V into ongoing state vector h   h0..7 ← h0..7 xor V0..7   h0..7 ← h0..7 xor V8..15   Result ← h End Function Compress Result ← h <span style="color: #004DBB;">End Function</span> Compress 


The Mix function is called by the Compress function, and mixes two 8-byte words from the message into the hash state. In most implementations this function would be written inline, or as an inlined function. Function Mix

  Inputs:        Va, Vb, Vc, Vd       four 8-byte word entries from the work vector V        x, y                two 8-byte word entries from padded message m   Output:        Va, Vb, Vc, Vd       the modified versions of Va, Vb, Vc, Vd   Va ← Va + Vb + x          with input   Vd ← (Vd xor Va) rotateright 32   Vc ← Vc + Vd              no input   Vb ← (Vb xor Vc) rotateright 24   Va ← Va + Vb + y          with input   Vd ← (Vd xor Va) rotateright 16   Vc ← Vc + Vd              no input   Vb ← (Vb xor Vc) rotateright 63   Result ← Va, Vb, Vc, Vd End Algorithm Mix 

BLAKE2 hashes

BLAKE2b-512("") = 786A02F742015903C6C6FD852552D272912F4740E15847618A86E217F71F5419 D25E1031AFEE585313896444934EB04B903A685B1448B755D56F701AFE9BE2CE 
BLAKE2b-512("The quick brown fox jumps over the lazy dog") = A8ADD4BDDDFD93E4877D2746E62817B116364A1FA7BC148D95090BC7333B3673 F82401CF7AA2E4CB1ECD90296E3F14CB5413F8ED77BE73045B13914CDCD6A918 

BLAKE2 uses

GNU Core Utilities implements BLAKE2 in its BLAKE2 command.

Argon2, the winner of the Password Hashing Competition uses BLAKE2.

Noise (crypto protocol), which is now used in WhatsApp includes BLAKE2 as an option.

RAR file archive format version 5 supports an optional 256-bit BLAKE2sp file checksum instead of the default 32-bit CRC32. It was implemented in WinRAR v5+.

NeoScrypt, a password based key derivation function, employs BLAKE2s within its FastKDF component.

librsync uses BLAKE2.

Chef’s Habitat deployment system uses BLAKE2 for package signing.

Several crypto libraries, including OpenSSL, Crypto++, libsodium, [Botan, and Bouncy Castle include BLAKE2.

Zcash, a cryptocurrency, uses BLAKE2b in the Equihash Proof-of-Work and as a key derivation function.

Bram Cohen’s MerkleSet uses BLAKE2s.

FreeBSD’s package-management tool pkg uses BLAKE2b.


See Also on BitcoinWiki